The article focuses on Teacher Time Outs (TTOs) in rehearsals and co-enactments as part of a practice-based approach to professional development, aiming to support teachers' learning of ambitious mathematics teaching. Ambitious teaching requires teachers to be responsive to students' ideas in-the-moment of instruction. This is complex and places…

Background: Many studies have shown that ambitious, "student centered" approaches to STEM instruction benefit K-12 student learning. However, relatively little research has systematically investigated the learning processes that support teachers to skillfully enact these challenging pedagogies. In this study, we used a mixed-methods,…

There has been substantial research undertaken on the integration of computational thinking (CT) in K-12 mathematics education in recent years, particularly since 2018 when relevant systematic reviews were conducted on the topic. Many empirical studies in this area have yet to elaborate clearly and explicitly on how CT may support mathematics…

The purpose of the work described in this paper is to emphasize the importance of using mathematical models and mathematical modelling in order to be able to understand and to learn possible behaviours in epidemic situations such as that of the COVID-19 pandemic, besides suggesting modelling techniques with which to evaluate certain sanitary…

We explore whether training parents' math skills or playing number games improves children's mathematical skills. Participants were 162 parent-child dyads; 88.3% were white and children (79 female) were 4 years (M = 46.88 months). Dyads were assigned to a number game, shape game, parent-only approximate number system training, parent-only general…

This study aims to examine the components of collective argumentation of pre-service middle school mathematics teachers during geometric construction activities. To scrutinize this issue, case study research was utilized. The participants were 14 pre-service middle school mathematics teachers who worked collectively by forming four groups. During…

The present study explored associations among teachers' anxiety for teaching mathematics, science, and English language arts and their students' own anxiety in each content area, and how these associations varied depending on student sex and socioeconomic status (SES). Participants included 33 fourth-grade teachers and 463 students from 14 schools…

Based on Bloom's Taxonomy of Educational Objectives and the assessment framework of PISA, this study aimed to develop a three-dimensional assessment framework to measure junior high school students' higher order thinking skills in mathematics in China. A total of 28,153 eighth graders from 11 districts and counties in Z city were involved in the…

This study examines the presence of three conceptual metaphors for fractions -- The measuring stick metaphor, Arithmetic is motion along a path, and Arithmetic is object construction -- in four common and popular Swedish mathematics textbook series for years 1-3. I analyse the introduction of fractions and the kinds of tasks students are given in…

Using clickers in the statistics classroom can help students identify and understand common errors and misconceptions through a combination of surprise and discussion. Students are presented with multiple-choice questions that they discuss with each other and then vote on; a class-wide discussion follows. Questions for which many students vote for…

Mathematical talent serves as a supporting competency in the achievement of student goals, especially in mathematics achievements. This relates to the potential competencies possessed by students which can be improved by first detecting them, guiding, and training the students, and assessing the performance. This research is a phenomenology study…

In this reflection of teaching, we describe a series of activities that introduce the Taylor series through dynamic visual representations with explicit connections to students' prior learning. Over the past several decades, educators have noted that curricular materials tend to present the Taylor series in a way that students often interpret as…

Universities have drawn on an assortment of strategies to address the learning challenges and high attrition rates of developmental mathematics students. One of those strategies has been utilizing computer adaptive instruction (CAI) mathematics software. Reports about the efficacy of CAI vary from glowing to unfavorable. This article presents an…

The relation to operands (RO) principles describe the relation between operands and answers in arithmetic problems (e.g., the sum is always larger than its positive addends). Despite being a fundamental property of arithmetic, its empirical relation with arithmetic/algebraic problem solving has seldom been investigated. The current longitudinal…

Traditional lecturing is the dominant method of teaching mathematics in undergraduate mathematical courses in many countries, whereas active student-centered approaches such as inquiry-based learning have been shown in some instances to be more effective. Most teaching resources (inquiry-based tasks) available at the tertiary level are related to…